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<div class="subTitle">org.apache.commons.math3.stat.inference</div>
<h2 title="Class OneWayAnova" class="title">Class OneWayAnova</h2>
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<pre>public class <span class="strong">OneWayAnova</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">Implements one-way ANOVA (analysis of variance) statistics.

 <p> Tests for differences between two or more categories of univariate data
 (for example, the body mass index of accountants, lawyers, doctors and
 computer programmers).  When two categories are given, this is equivalent to
 the <a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html" title="class in org.apache.commons.math3.stat.inference"><code>TTest</code></a>.
 </p><p>
 Uses the <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate exact p-values.</p>
 <p>This implementation is based on a description at
 http://faculty.vassar.edu/lowry/ch13pt1.html</p>
 <pre>
 Abbreviations: bg = between groups,
                wg = within groups,
                ss = sum squared deviations
 </pre></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd></dl>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#OneWayAnova()">OneWayAnova</a></strong>()</code>
<div class="block">Default constructor.</div>
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<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaFValue(java.util.Collection)">anovaFValue</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)</code>
<div class="block">Computes the ANOVA F-value for a collection of <code>double[]</code>
 arrays.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaPValue(java.util.Collection)">anovaPValue</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)</code>
<div class="block">Computes the ANOVA P-value for a collection of <code>double[]</code>
 arrays.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaPValue(java.util.Collection,%20boolean)">anovaPValue</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;<a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive">SummaryStatistics</a>&gt;&nbsp;categoryData,
           boolean&nbsp;allowOneElementData)</code>
<div class="block">Computes the ANOVA P-value for a collection of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaTest(java.util.Collection,%20double)">anovaTest</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData,
         double&nbsp;alpha)</code>
<div class="block">Performs an ANOVA test, evaluating the null hypothesis that there
 is no difference among the means of the data categories.</div>
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<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>OneWayAnova</h4>
<pre>public&nbsp;OneWayAnova()</pre>
<div class="block">Default constructor.</div>
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<h4>anovaFValue</h4>
<pre>public&nbsp;double&nbsp;anovaFValue(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)
                   throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<div class="block">Computes the ANOVA F-value for a collection of <code>double[]</code>
 arrays.

 <p><strong>Preconditions</strong>: <ul>
 <li>The categoryData <code>Collection</code> must contain
 <code>double[]</code> arrays.</li>
 <li> There must be at least two <code>double[]</code> arrays in the
 <code>categoryData</code> collection and each of these arrays must
 contain at least two values.</li></ul></p><p>
 This implementation computes the F statistic using the definitional
 formula<pre>
   F = msbg/mswg</pre>
 where<pre>
  msbg = between group mean square
  mswg = within group mean square</pre>
 are as defined <a href="http://faculty.vassar.edu/lowry/ch13pt1.html">
 here</a></p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code>
 arrays each containing data for one category</dd>
<dt><span class="strong">Returns:</span></dt><dd>Fvalue</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>categoryData</code> is <code>null</code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code>
 array is less than 2 or a contained <code>double[]</code> array does not have
 at least two values</dd></dl>
</li>
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<h4>anovaPValue</h4>
<pre>public&nbsp;double&nbsp;anovaPValue(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)
                   throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<div class="block">Computes the ANOVA P-value for a collection of <code>double[]</code>
 arrays.

 <p><strong>Preconditions</strong>: <ul>
 <li>The categoryData <code>Collection</code> must contain
 <code>double[]</code> arrays.</li>
 <li> There must be at least two <code>double[]</code> arrays in the
 <code>categoryData</code> collection and each of these arrays must
 contain at least two values.</li></ul></p><p>
 This implementation uses the
 <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact
 p-value, using the formula<pre>
   p = 1 - cumulativeProbability(F)</pre>
 where <code>F</code> is the F value and <code>cumulativeProbability</code>
 is the commons-math implementation of the F distribution.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code>
 arrays each containing data for one category</dd>
<dt><span class="strong">Returns:</span></dt><dd>Pvalue</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>categoryData</code> is <code>null</code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code>
 array is less than 2 or a contained <code>double[]</code> array does not have
 at least two values</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code> - if the p-value can not be computed due to a convergence error</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the maximum number of iterations is exceeded</dd></dl>
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<h4>anovaPValue</h4>
<pre>public&nbsp;double&nbsp;anovaPValue(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;<a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive">SummaryStatistics</a>&gt;&nbsp;categoryData,
                 boolean&nbsp;allowOneElementData)
                   throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>,
                          <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<div class="block">Computes the ANOVA P-value for a collection of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>.

 <p><strong>Preconditions</strong>: <ul>
 <li>The categoryData <code>Collection</code> must contain
 <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>.</li>
 <li> There must be at least two <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a> in the
 <code>categoryData</code> collection and each of these statistics must
 contain at least two values.</li></ul></p><p>
 This implementation uses the
 <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact
 p-value, using the formula<pre>
   p = 1 - cumulativeProbability(F)</pre>
 where <code>F</code> is the F value and <code>cumulativeProbability</code>
 is the commons-math implementation of the F distribution.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>
 each containing data for one category</dd><dd><code>allowOneElementData</code> - if true, allow computation for one catagory
 only or for one data element per category</dd>
<dt><span class="strong">Returns:</span></dt><dd>Pvalue</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>categoryData</code> is <code>null</code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code>
 array is less than 2 or a contained <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a> does not have
 at least two values</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code> - if the p-value can not be computed due to a convergence error</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the maximum number of iterations is exceeded</dd><dt><span class="strong">Since:</span></dt>
  <dd>3.2</dd></dl>
</li>
</ul>
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<pre>public&nbsp;boolean&nbsp;anovaTest(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData,
                double&nbsp;alpha)
                  throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<div class="block">Performs an ANOVA test, evaluating the null hypothesis that there
 is no difference among the means of the data categories.

 <p><strong>Preconditions</strong>: <ul>
 <li>The categoryData <code>Collection</code> must contain
 <code>double[]</code> arrays.</li>
 <li> There must be at least two <code>double[]</code> arrays in the
 <code>categoryData</code> collection and each of these arrays must
 contain at least two values.</li>
 <li>alpha must be strictly greater than 0 and less than or equal to 0.5.
 </li></ul></p><p>
 This implementation uses the
 <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact
 p-value, using the formula<pre>
   p = 1 - cumulativeProbability(F)</pre>
 where <code>F</code> is the F value and <code>cumulativeProbability</code>
 is the commons-math implementation of the F distribution.</p>
 <p>True is returned iff the estimated p-value is less than alpha.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code>
 arrays each containing data for one category</dd><dd><code>alpha</code> - significance level of the test</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if the null hypothesis can be rejected with
 confidence 1 - alpha</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>categoryData</code> is <code>null</code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code>
 array is less than 2 or a contained <code>double[]</code> array does not have
 at least two values</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>alpha</code> is not in the range (0, 0.5]</dd>
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